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arXiv · 2401.02638

Probabilistic degenerate Fubini polynomials associated with random variables

Rongrong Xu·Taekyun Kim·Dae San Kim·Yuankui Ma
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Abstract

Let Y be a random variable such that the moment generating function of Y exists in a neighborhood of the origin. The aim of this paper is to study probabilistic versions of the degenerate Fubini polynomials and the degenerate Fubini polynomials of order $r$, namely the probabilisitc degenerate Fubini polynomials associated with Y and the probabilistic degenerate Fubini polynomials of order r associated with Y. We derive some properties, explicit expressions, certain identities and recurrence relations for those polynomials.

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Rongrong Xu, Taekyun Kim, Dae San Kim, Yuankui Ma. 2024-01-05. Probabilistic degenerate Fubini polynomials associated with random variables. https://arxiv.org/abs/2401.02638

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